Typical entanglement in multiple-qubit systems

Vivien Kendon, Kae Nemoto, William Munro

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)
16 Downloads (Pure)

Abstract

Quantum entanglement and its paradoxical properties hold the key to an information processing revolution. Much attention has focused recently on the challenging problem of characterizing entanglement. Entanglement for a two qubit system is reasonably well understood; however, the nature and properties of multiple qubit systems are largely unexplored. Motivated by the importance of such systems in quantum computing, we show that typical pure states of N qubits are highly entangled but have decreasing amounts of pairwise entanglement (measured using the Wootter concurrence formula) as N increases. Above six qubits, very few states have any pairwise entanglement and, generally, for a typical pure state of N qubits there is a sharp cut-off where its subsystems of size m become positive partial transpose (i.e. separable or only bound entangled) around N ≳ 2m + 3, based on numerical analysis up to N = 13.
Original languageEnglish
Pages (from-to)1709-1716
Number of pages8
JournalJournal of Modern Optics
Volume49
Issue number10
DOIs
Publication statusPublished - 31 Dec 2002

Keywords

  • computational methods
  • numerical methods
  • optical data processing
  • optical properties
  • optical variables measurement
  • multiple qubit systems
  • quantum computing
  • quantum entanglement
  • Wootter concurrence formula
  • quantum optics

Fingerprint

Dive into the research topics of 'Typical entanglement in multiple-qubit systems'. Together they form a unique fingerprint.

Cite this